A cart of mass is pulled along a horizontal track by a rope that makes an angle of…
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics
Problem
A cart of mass 15kg is pulled along a horizontal track by a rope that makes an angle of 30∘ above the horizontal as shown. The tension in the rope is 60N. The coefficient of kinetic friction between the cart and the track is μk=0.15. Air resistance is negligible.
Answer the following questions for the instant depicted. Take g=9.8ms−2.
(a) Determine the magnitude of the normal force exerted on the cart by the track.
(b) Compute the horizontal component of the net force acting on the cart and state its direction.
(c) Calculate the cart’s acceleration along the track.
(d) Qualitatively explain how the horizontal component of the net force would change if the rope angle were increased while the tension remained 60N.